2014/04/18 by Claire Amiot, Amiot, Claire
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.RT
paper · pdf · doi:10.48550/arxiv.1404.4764
Oberwolfach Report on joint works with O. Iyama, I. Reiten and S. Oppermann
arxiv created 2014/04/18 · arxiv updated 2014/04/21
The properties of the preprojective algebra are very di fferent whether the associated quiver is of Dynkin type or not. However in both cases, one can construct from it a triangulated category of Calabi-Yau dimension 2. In this note we explain the generalizations of this fact in the context of higher preprojective algebra, and we give some homological properties that characterize preprojective algebras.